Search a number
-
+
13102220000310 = 2357348491790339
BaseRepresentation
bin1011111010101001100100…
…1010110011110000110110
31201101120010020110120102220
42332222121022303300312
53204131321310002220
643511024325543210
72521414140306120
oct276523112636066
951346106416386
1013102220000310
1141a16906859a1
12157736ab74b06
137406c33acabc
14334217c4c210
1517ac4373e540
hexbea992b3c36

13102220000310 has 64 divisors (see below), whose sum is σ = 35938569024000. Its totient is φ = 2994705533952.

The previous prime is 13102220000297. The next prime is 13102220000329. The reversal of 13102220000310 is 1300002220131.

It is a super-2 number, since 2×131022200003102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13102220000310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6423121 + ... + 8213459.

It is an arithmetic number, because the mean of its divisors is an integer number (561540141000).

Almost surely, 213102220000310 is an apocalyptic number.

13102220000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13102220000310 is an abundant number, since it is smaller than the sum of its proper divisors (22836349023690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13102220000310 is a wasteful number, since it uses less digits than its factorization.

13102220000310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825205.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13102220000310 its reverse (1300002220131), we get a palindrome (14402222220441).

The spelling of 13102220000310 in words is "thirteen trillion, one hundred two billion, two hundred twenty million, three hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 34849 69698 104547 174245 209094 243943 348490 487886 522735 731829 1045470 1219715 1463658 1790339 2439430 3580678 3659145 5371017 7318290 8951695 10742034 12532373 17903390 25064746 26855085 37597119 53710170 62661865 75194238 125323730 187985595 375971190 62391523811 124783047622 187174571433 311957619055 374349142866 436740666677 623915238110 873481333354 935872857165 1310222000031 1871745714330 2183703333385 2620444000062 4367406666770 6551110000155 13102220000310